The root of the equation 3x−ex=0 is bounded in the interval.
MTH603 Quiz 2 Solution and Discussion

Which of the following reason(s) lead towards the numerical integration methods?

In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points.

Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 3rd term in Taylor series when t=1, y/ =0.2, y// =2, and h=0.1.

Given that dydt=y−ty+t with the initial condition y=1,t=0 Using Euler’s method, y at
h=0.01
; the value of y(0.01)is 
Given that dydt=1−y√ with the initial condition y0=1att0=0 find the 3rd term of Taylor series when t=0.5 and y// =0.25.

While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to  variable/variables at time
Single
Both 
@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
At which of the following points the Maximum value of 2nd derivative of function
f(x) = (2/x) in the interval:[1,4] exits?At x=1

At which of the following points the Maximum value of 2nd derivative of function
f(x) = (2/x) in the interval:[1,4] exits? 
Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1.

In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points.
n
n+1
n1
None of the given choices 

In Simpson’s rule, we can estimate the integral by …………the areas under the parabolic arcs through three successive points.
Adding
Subtracting
Multiplying
None of the given choices 
Trapezoidal rule of integration of a definite integral is of…………
O(h2)
O(h3)
O(h4)
None of the given choices 
@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule
Trapezoidal method

Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule

Given that dy/dt=t+y with the initial condition y0=1at t0=0 find the 3rd term in Taylor series when t=1.5 and y// =0.6